Complex Whitham-deformations in problems with “integrable instability”
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 87-121
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The focusing nonlinear Schrödinger equation with boundary conditions of “finite density” as $|x|\to\infty$ is considered. The complex theory of Whitham deformations is used for studying the asymptotics of its solution as $t\to\infty$. Bibliography: 25 titles.
@article{ZNSL_1995_224_a8,
author = {R. F. Bikbaev},
title = {Complex {Whitham-deformations} in problems with {\textquotedblleft}integrable instability{\textquotedblright}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {87--121},
year = {1995},
volume = {224},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a8/}
}
R. F. Bikbaev. Complex Whitham-deformations in problems with “integrable instability”. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 87-121. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a8/